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Finding the Third Proportional to 6,464,690 and 9,640,982

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Solution

The third proportional to 6,464,690 and 9,640,982 is: 14,377,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,690 : 9,640,982 = 9,640,982 : x
  2. Step 2: Convert to fraction form
    6,464,690/9,640,982 = 9,640,982/x
  3. Step 3: Cross multiply
    6,464,690x = 9,640,982 × 9,640,982
  4. Step 4: Simplify right side
    6,464,690x = 92,948,533,924,324
  5. Step 5: Solve for x
    x = 92,948,533,924,324/6,464,690
  6. Step 6: Final answer
    x = 14,377,879.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.